Pascals Triangle

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Transcript of Pascals Triangle

PASCALS

TRIANGLEWhat is pascals triangle?Pascal 's Triangle is a triangle that consists of number patterns.Pascals triangle has 1 around the sides.The triangle is constructed by adding the top two numbers to form the bottom number.like thiswhat triangleBlaise PascalWhat is the Formula?The formula for Pascal's triangle is:Is a French mathematician, physicist, inventor, writer and Christian philosopherWas considered a child prodigy(x+y)=

Ennk=0(nk)x -ynLived for only 39 yearskkHis mother died when he was 3Born-June 19 1623Died-August 19 1662FAMILYEtienne PascalAntoinette PascalBlaise PascalGilberte PascalJacqueline PascalWhat Happens when you change the number on the outside?Questions Pascal

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HimselfIssaac Newton was influenced by Blaise"I would prefer an intelligent hell to a stupid paradise"- Blaise PascalReasoningCommunicatingAnother little formula is....If you take the number 2 and square it by the number of the row you will get the total numbers of all the figures in that row added together. For examplerow no. 0row no. 1row no. 2row no. 3row no. 5row no. 6row no. 4row no. 7row no. 8row no. 9row no. 10When you change the number on the outside the formula will work on the new numbers and therefore is possible with the theory Blaise Pascal came up with. The other formula which is this one.....This however will not work as, if the number on the outside is three 2 to the power of 3 ( which is the row no.) will always be equal to the total of the normal pascals triangle not the modified one.Like........Hands

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play:The person/people who come 1st will get achocolate bar as a prize. ENJOY! :)11+11+2+11+3+3+11+4+6+4+1How Blaise communicated to the worldQ:

How did Pascal's triangle become famous?A:

Pascal's Triangle became famous when mathematicians started admitting Blaise Pascal to weekly meetings. Blaise then shared his idea of the Triangle with the other mathematicians and word started to spread. Therefore, Pascal's Triangle became famous and Blaise Pascal. Q:

Did Blaise make any inventions before or after Pascal's Triangle?

A: Yes he did. Before the invention of Pascal's Triangle, Blaise invented a calculator called the Pascaline. The Pascaline wasn't the type of calculator you have today, it was a numerical wheel calculator that had eight movable dials that added up to eight figured long sums. Blaise primarily invented it to help his father, a French tax collector count taxes.How Pascal's Triangle is used in the modern worldQ:

What is Pascal's Triangle used for today?How Pascal's Triangle is used in the modern worldA: Pascal's Triangle is used as a study example for scholars in many levels. It is also used for primary school math exercises and advanced studies in its use of probabilities.You will get a piece of paper. With a pencil'you will have to draw the Pascal's Triangle.Trying to complete as many rows as you canNote:-You have only 1 minute to draw the triangle-You will be counting how many rows you have finished in the minute-If you have not completed a row, that does not count as a row-The first row does NOT count as a rowOm Nom Nom